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Finding the Third Proportional to 11,666 and 25,174.75

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Solution

The third proportional to 11,666 and 25,174.75 is: 54,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666 : 25,174.75 = 25,174.75 : x
  2. Step 2: Convert to fraction form
    11,666/25,174.75 = 25,174.75/x
  3. Step 3: Cross multiply
    11,666x = 25,174.75 × 25,174.75
  4. Step 4: Simplify right side
    11,666x = 633,768,037.56
  5. Step 5: Solve for x
    x = 633,768,037.56/11,666
  6. Step 6: Final answer
    x = 54,326.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.